In triangle ABC, the angles A and B have the same measure, while the measure of angle C is 21degrees larger than the measure o
1 answer:
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a) 3.14 m/s
b)
c) 59.4 N
Explanation:
a)
The relationship between angular velocity and linear velocity for an object in circular motion is given by:
where
is the angular velocity
v is the linear velocity
r is the distance between the object and the axis of rotation
For the ladybug in this problem, we have:
r = 1 m (distance)
(angular velocity)
So, its linear velocity is
b)
The centripetal acceleration of an object in circular motion is given by the equation
where
v is the linear velocity
r is the distance between the object and the axis of rotation
The centripetal acceleration represents the radial acceleration of the object.
For the ladybug in this problem, we have:
v = 3.14 m/s (linear velocity)
r = 1 m (distance)
So, the centripetal acceleration is
c)
The centripetal force for an object in circular motion is given by
where
m is the mass of the object
a is the centripetal acceleration of the object
The centripetal force is the radial inward force that keeps the object in circular motion.
For the ladybug in this problem we have
m = 6.0 kg (mass)
(centripetal acceleration)
So, the centripetal force is
Answer:
9.58 m/s
Explanation:
x = 5.6 m
y = 3 m
θ = 60°
Let u be the initial velocity of projection.
The general equation of projectile path is given by
u = 9.58 m/s
thus, the velocity of projection is given by 9.58 m/s.